Find the length of a field that has a perimeter of 256 meters and a width of 36 meters. please explain the steps
P = 2L + 2W
256 = 2L + (2*36)
256 = 2L + 72
184 = 2L
? = L
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To find the length of a field with a given perimeter and width, you can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
In this case, the given perimeter is 256 meters, and the width is 36 meters.
Step 1: Substitute the given values into the formula:
256 = 2 * (Length + 36)
Step 2: Simplify the equation by dividing both sides by 2:
128 = Length + 36
Step 3: Subtract 36 from both sides of the equation to isolate the Length:
Length = 128 - 36
Step 4: Perform the subtraction:
Length = 92
Therefore, the length of the field is 92 meters.
To find the length of a field, we need to use the given information that the field has a perimeter of 256 meters and a width of 36 meters. The formula to find the perimeter of a rectangle is P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.
1. Substitute the given values into the formula:
256 = 2(l + 36)
2. Simplify the equation:
Divide both sides by 2 to isolate (l + 36):
128 = l + 36
3. Subtract 36 from both sides of the equation to solve for l:
l = 128 - 36
l = 92
Therefore, the length of the field is 92 meters.